brentie,
I have used coils embedded in a ceramic clay (talk to a potter near you). The coils have a rather low inductance when there is no iron close to them. Iron increases inductance and that can be sensed in several ways. The coils are in effect the same thing as you use in a metal detector so they will akso work with non-ferrous metals. But then it is not the inductance that changes. Instead, the losses go up when metal comes close (Q factor goes down).
If the oven can accept an extra air flow, then pressurized air can easily sense a moving vane that is actuated by the trays. A fork configuration (air nozzle in one leg and sensing nozzle in the other leg, vane goes in between the legs) works very well and is very reliable. I used 100 PSI and solid state pressure sensors (monted separately outside the oven, of course ;-) ) with great sucess in very harsh environment. The nozzles tend to clog in some carbon rich (oil burners) environments so it is best place the sensors on a bracket that can be drawn out of the oven for cleaning.
You have probably already thought of the obvious solution: let the trays actuate an arm that turns a shaft and monitor the turning outside the oven. Some ovens do not like having holes in them so it is not always possible to use this simple technique.
Good luck!